L Rondoni and E G D Cohen 2000 Nonlinearity 13 1905 doi:10.1088/0951-7715/13/6/303
Gibbs entropy and irreversible thermodynamics
L Rondoni1 and E G D Cohen2
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Recently, a number of approaches have been developed to connect the microscopic dynamics of particle systems to the macroscopic properties of systems in non-equilibrium stationary states, via the theory of dynamical systems. In this way a direct connection between dynamics and irreversible thermodynamics has been claimed to have been found. However, the main quantity used in these studies is a (coarse-grained) Gibbs entropy, which to us does not seem suitable, in its present form, to characterize non-equilibrium states. Various simplified models have also been devised to give explicit examples of how the coarse-grained approach may succeed in giving a full description of the irreversible thermodynamics. We analyse some of these models and point out a number of difficulties which, in our opinion, need to be overcome in order to establish a physically relevant connection between these models and irreversible thermodynamics.
- PACS
- MSC
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82C35 Irreversible thermodynamics, including Onsager-Machlup theory
- Subjects
- Dates
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Issue 6 (November 2000)
Received 27 August 1999, in final form 21 July 2000
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Gibbs entropy and irreversible thermodynamics
L Rondoni and E G D Cohen 2000 Nonlinearity 13 1905
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